Delving anew into an explosive issue, President Barack Obama stood near the border with Mexico on Tuesday and declared it more secure than ever, trying to build pressure on Republicans to take on a comprehensive immigration overhaul—and eagerly working to show vital Hispanic voters that he is not the one standing in the way.

Countering Republican calls to focus on border security before moving to a comprehensive overhaul, Obama said their demands have been more than met by his administration but “they’ll never be satisfied.”

He boasted of increasing border patrol agents, nearing completion of a border fence, and screening more cargo.

“We have gone above and beyond what was requested by the very Republicans who said they supported broader reform as long as we got serious about enforcement,” Obama said. “But even though we’ve answered these concerns, I gotta say I suspect there are still going to be some who are trying to move the goal posts on us one more time.”